On merging of resonant periodic orbits 4:3; 3:2 and 2:1 in Sun-Jupiter photo gravitational restricted three-body problem


  • Prashant Kumar Department of Aerospace EngineeringKarunya UniversityCoimbatore-641114Tamilnadu, India
  • Ram Krishan Sharma Department of Aerospace Engineering, Karunya Institute of Technology and Sciences, Coimbatore - 641114, Tamil Nadu






Restricted Three Body Problem, First-Order, Interior Resonance, Poincaré Surface of Section, Solar Radiation Pressure.


We explore the merging of resonant periodic orbits in the frame work of planar circular restricted three body problem with the help of Poincaré surface of section. We have studied the effect of solar radiation pressure on 4:3, 3:2 and 2:1 periodic orbits. It is found that radiation pressure helps in merging these orbits (4:3 and 3.2 into 1:1 resonance and 2:1 into 1:1 resonance). At the time of merging these orbits become near-circular. The period and size of these orbits reduce with the increase in radiation pressure.



Author Biography

Prashant Kumar, Department of Aerospace EngineeringKarunya UniversityCoimbatore-641114Tamilnadu, India



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